[Feature] Add Foundry Support to AI Search

### Description

AI Search as deployed doesn't support the Foundry IQ. Need to update to a billable AI Search with a minimum 2 replicas. Also, update the Search API for Full functionality.

https://learn.microsoft.com/en-us/azure/search/agentic-retrieval-how-to-retrieve?tabs=2026-05-01-preview&pivots=csharp#call-the-retrieve-action

### User Story

As a developer, I want to update the AI Search deployment so that I can use the AI Search functionality from Foundry IQ.

### Definition of Done

```markdown
- AI Search deployment meets minimum Foundry IQ requirements
- Private networking is still functional
- API is updated to Full functionality
```

### Values Provided

_No response_

### Additional Information

When the API is updated to GA, this will also need to be updated in the python code.